泛函分析教程(第2版)(英文版) —著译者：J.B.Conway　著—世界图书出版公司

泛函分析教程(第2版)(英文版) —著译者：J.B.Conway　著-from 中国行业书店-专业版www.bookren.com

泛函分析教程(第2版)(英文版) (书店编码:2366637)

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书号:7506259514	定价:39
著译者: J.B.Conway　著	销售价:33.93
出版社:世界图书出版公司
规格:版次:1\|印次:\|页数:399\|纸张:胶版纸\|装帧:平装
出版时间: 2003年6月1日	上架时间:2007-12-13 2:19:00
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本书目录:

Preface
Preface to the Second Edition
CHAPTER I Hilbert Spaces
　1.Elementary Properties and Examples
　2.Orthogonality
　3.The Riesz Representation Theorem
　4.Orthonormal Sets of Vectors and Bases
　5.Isomorphic Hilbert Spaces and the Fourier Transform for the Circle
　6.The Direct Sum of Hilbert Spaces
CHAPTER II Operators on Hilbert Space
　1.Elementary Properties and Examples
　2.The Adjoint of an Operator
　3.Projections and Idempotents; Invariant and Reducing Subspaces
　4.Compact Operators
　5.* The Diagonalization of Compact Self-Adjoint Operators
　6.* An Application: Sturm-Liouville Systems
　7.* The Spectral Theorem and Functional Calculus for Compact Normal Operators
　8.* Unitary Equivalence for Compact Normal Operators
CHAPTER III Banach Spaces
　1.Elementary Properties and Examples
　2.Linear Operators on Normed Spaces
　3.Finite Dimensional Normed Spaces
　4.Quotients and Products of Normed Spaces
　5.Linear Functionals
　6.The Hahn-Banach Theorem
　7.* An Application: Banach Limits
　8.* An Application: Runge's Theorem
　9.* An Application: Ordered Vector Spaces
　1.The Dual of a Quotient Space and a Subspace
　11.Reflexive Spaces
　12.The Open Mapping and Closed Graph Theorems
　13.Complemented Subspaces of a Banach Space
　14.The Principle of Uniform Boundedness
CHAPTER IV Locally Convex Spaces
　1.Elementary Properties and Examples
　2.Metrizable and Normable Locally Convex Spaces
　3.Some Geometric Consequences of the Hahn-Banach Theorem
　4.* Some Examples of the Dual Space of a Locally Convex Space
　5.* Inductive Limits and the Space of Distributions
CHAPTER V Weak Topologies
　1.Duality
　2.The Dual of a Subspace and a Quotient Space
　3.Alaoglu's Theorem
　4.Reflexivity Revisited
　5.Separability and Metrizability
　6.* An Application: The Stone-t　ech Compactification
　7.The Krein-Milman Theorem
　8.An Application: The Stone-Weierstrass Theorem
　9.* The Schauder Fixed Point Theorem
　10.* The Ryll-Nardzewski Fixed Point Theorem
　11.* An Application: Haar Measure on a Compact Group
　12.* The Krein-Smulian Theorem
　13.* Weak Compactness
CHAPTER VI Linear Operators on a Banach Space
CHAPTER VII Banach Agebras and Spectral Theory for Operators on a Banach Space
CHAPTER VIII C-Algebras
CHAPTER IX Normal Operators on Hilbert Space
CHAPTER X Unbounded Operators
CHAPTER XI Fredholm Theory
APPENDIX A
APPENDIX B
APPENDIX C
Bibliography
List of Symbols
Index

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